A Neurogeometric Stereo Model for Individuation of 3D Perceptual Units

Bolelli, Maria Virginia; Citti, Giovanna; Sarti, Alessandro; Zucker, Steven W.

doi:10.1007/978-3-031-38271-0_6

Search citation statements

Order By: Relevance

Paper Sections

Select...

Compatibility With the Sub-riemannian Model1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is related to how the fan of integral curves "spreads out" with distance (Figures 11,12), which is also exponential. These notions are developed more fully in Bolelli et al (2023a).…”

Section: Compatibility With the Sub-riemannian Modelmentioning

confidence: 99%

Good continuation in 3D: the neurogeometry of stereo vision

Bolelli,

Citti,

Sarti

et al. 2024

Front. Comput. Sci.

View full text Add to dashboard Cite

Classical good continuation for image curves is based on 2D position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and by rich models of (differential) geometry. Here, we extend good continuation to stereo by introducing a neurogeometric model to abstract cortical organization. Our model clarifies which aspects of the projected scene geometry are relevant to neural connections. The model utilizes parameterizations that integrate spatial and orientation disparities, and provides insight into the psychophysics of stereo by yielding a well-defined 3D association field. In sum, the model illustrates how good continuation in the (3D) world generalizes good continuation in the (2D) plane.

show abstract

“…This is related to how the fan of integral curves "spreads out" with distance (Figures 11,12), which is also exponential. These notions are developed more fully in Bolelli et al (2023a).…”

Section: Compatibility With the Sub-riemannian Modelmentioning

confidence: 99%